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Mathematics

D-Index
45
Citations
9049
World Ranking
1462
National Ranking
641

Overview

Yuji Kodama is affiliated with The Ohio State University in the United States. Their research spans multiple disciplines including Engineering, Mathematics, and Physics and Astronomy, with a particular focus on subfields such as Statistical and Nonlinear Physics, Geometry and Topology, Civil and Structural Engineering, Automotive Engineering, and Algebra and Number Theory.

The scientist's work addresses several main topics, prominently featuring Nonlinear Waves and Solitons, Algebraic structures and combinatorial models, Advanced Topics in Algebra, Nonlinear Photonic Systems, Engineering Applied Research, Advanced Differential Equations and Dynamical Systems, and Polynomial and algebraic computation.

Frequent coauthors collaborating with Yuji Kodama include Chuanzhong Li, Yuancheng Xie, Shun Takahashi, S.-S. Huang, and Rachel Karpman.

The scientist's research outputs appear in various publication venues, notably:

  • arXiv (Cornell University)
  • Keisan Rikigaku Koenkai koen ronbunshu/Keisan Rikigaku Kouenkai kouen rombunshuu
  • Letters in Mathematical Physics
  • Symmetry Integrability and Geometry Methods and Applications
  • Advances in Mathematics

Recent papers authored or co-authored by Yuji Kodama include:

  • Space Curves and Solitons of the KP Hierarchy. I. The l-th Generalized KdV Hierarchy, 2021, Symmetry Integrability and Geometry Methods and Applications
  • KP solitons and the Riemann theta functions, 2024, Letters in Mathematical Physics
  • Extended Schur's Q-functions and the full Kostant-Toda hierarchy on the Lie algebra of type D, 2022, Physica D Nonlinear Phenomena

Other related works in which Kodama appears as a coauthor or contributor include publications on triangulations and soliton graphs for the totally positive Grassmannian and simulations related to tire radiation noise, appearing respectively in Advances in Mathematics (2020) and NOISE-CON proceedings (2023).

Best Publications

  • Nonlinear pulse propagation in a monomode dielectric guide

    Y. Kodama;A. Hasegawa

  • Optical solitons in a monomode fiber

    Yuji Kodama

  • Nonlinear behavior and turbulence spectra of drift waves and Rossby waves

    Akira Hasegawa;Carol G. Maclennan;Yuji Kodama

  • Generation of asymptotically stable optical solitons and suppression of the Gordon-Haus effect.

    Yuji Kodama;Akira Hasegawa

  • Guiding-center soliton.

    Akira Hasegawa;Yuji Kodama

  • Perturbations of solitons and solitary waves

    Yuji Kodama;Mark J. Ablowitz

  • Higher Order Approximation in the Reductive Perturbation Method. I. The Weakly Dispersive System

    Yuji Kodama;Tosiya Taniuti

  • KP solitons in shallow water

    Yuji Kodama

  • Soliton Solutions of the KP Equation and Application to Shallow Water Waves

    S. Chakravarty;Y. Kodama

  • A method for solving the dispersionless KP equation and its exact solutions

    Yuji Kodama;Yuji Kodama

  • A method for solving the dispersionless KP hierarchy and its exact solutions. II

    Yuji Kodama;John Gibbons

  • On a family of solutions of the Kadomtsev–Petviashvili equation which also satisfy the Toda lattice hierarchy

    Gino Biondini;Yuji Kodama

  • KP solitons and total positivity for the Grassmannian

    Yuji Kodama;Lauren Williams

  • On integrable systems with higher order corrections

    Yuji Kodama

  • On a family of solutions of the KP equation which also satisfy the Toda lattice hierarchy

    Gino Biondini;Yuji Kodama

  • Classification of the line-soliton solutions of KPII

    Sarbarish Chakravarty;Yuji Kodama

  • Control of Optical Soliton Interactions

    S. Wabnitz;Y. Kodama;A.B. Aceves

  • Solution of the dispersionless Hirota equations

    R Carroll;Y Kodama

  • Optical Kerr Spatiotemporal Dark-Lump Dynamics of Hydrodynamic Origin.

    Fabio Baronio;Stefan Wabnitz;Yuji Kodama

  • Young diagrams and N-soliton solutions of the KP equation

    Yuji Kodama

  • Topological Landau-Ginzburg theory with a rational potential and the dispersionless KP hierarchy

    Shogo Aoyama;Yuji Kodama

Frequent Co-Authors

Akira Hasegawa
Akira Hasegawa Osaka University
Akihiro Maruta
Akihiro Maruta Osaka University
Stefan Wabnitz
Stefan Wabnitz Sapienza University of Rome
Boris Konopelchenko
Boris Konopelchenko University of Salento
Mark J. Ablowitz
Mark J. Ablowitz University of Colorado Boulder
Lauren Williams
Lauren Williams Harvard University
Miguel Onorato
Miguel Onorato University of Turin
Stefano Trillo
Stefano Trillo University of Ferrara
Gino Biondini
Gino Biondini University at Buffalo, State University of New York
Peter A. Andrekson
Peter A. Andrekson Chalmers University of Technology

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